Question

Find the mean proportional for each pair. SHOW YOUR SOLUTION

1. 6, 24

Answer 1

The mean proportional of 6, and 24 will be 12

Explanation:

We know that the Mean proportional of two

numbers, x, and y :
`√(xy)`

Therefore, the mean proportional of 6, and 24

`=√(6* 24)`

`=√(144)`

`\mathrm{Factor\:the\:number:\:}\:144=12^2`

`=√(12^2)`

`\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a`

`√(12^2)=12`

`=12`

Therefore, the mean proportional of 6, and 24 will be 12.